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Finding the Fourth Proportional to 19,768.50, 27,280.53 and 11,384.82

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Solution

The fourth proportional to 19,768.50, 27,280.53 and 11,384.82 is: 15,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.50 : 27,280.53 = 11,384.82 : x
  2. Step 2: Convert to fraction form
    19,768.50/27,280.53 = 11,384.82/x
  3. Step 3: Cross multiply
    19,768.50x = 27,280.53 × 11,384.82
  4. Step 4: Simplify right side
    19,768.50x = 310,583,923.55
  5. Step 5: Solve for x
    x = 310,583,923.55/19,768.50
  6. Step 6: Final answer
    x = 15,711.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.